111605672779776 has 1512 divisors, whose sum is σ = 402294036208896. Its totient is φ = 30836137328640.

The previous prime is 111605672779759. The next prime is 111605672779823. The reversal of 111605672779776 is 677977276506111.

111605672779776 is a `hidden beast` number, since 1 + 1 + 1 + 605 + 6 + 7 + 2 + 7 + 7 + 9 + 7 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1512).

It is a super-2 number, since 2×111605672779776² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 81642773845 + ... + 81642775211.

Almost surely, 2^{111605672779776} is an apocalyptic number.

111605672779776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111605672779776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201147018104448).

111605672779776 is an abundant number, since it is smaller than the sum of its proper divisors (290688363429120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

111605672779776 is an frugal number, since it uses more digits than its factorization.

111605672779776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1410 counting only the distinct ones).

The product of its (nonzero) digits is 326728080, while the sum is 72.

The spelling of 111605672779776 in words is "one hundred eleven trillion, six hundred five billion, six hundred seventy-two million, seven hundred seventy-nine thousand, seven hundred seventy-six".